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Department : Matematik Bölümü ✕Researcher : Kalıskan MATANOVA ✕
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Doç. Dr. Kalıskan MATANOVAFen Fakültesi
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Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind

Avıt ASANOV | Kalıskan MATANOVA

A numerical solution of the system of linear Volterra–Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given.

Article 2022 Fen Fakültesi Journal of Mathematical Sciences262 ( 2 ) 56 Views
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Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind

Avıt ASANOV | Kalıskan MATANOVA

A numerical solution of the system of linear Volterra-Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given. Keyword: System of linear Volterra-Stieltjes integral equations, second kind, generalized trapezoid rule, numerical solution

Article 2022 Fen Fakültesi Український математичний вісник / Ukrainian Mathematical Bulletin19 ( 1 ) 20 Views
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Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule

Avıt ASANOV | Elman HAZAR | Kalıskan MATANOVA

The numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined and proved. A selected example is solved employing the proposed method.

Article 2016 Fen Fakültesi Advances in Mathematical Physics 91 Views
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Обратная задача об источнике для дифференциального уравнения третьего порядка с частными производными

Kalıskan MATANOVA

В данной статье получена функция Грина для краевой задачи для уравнений второго порядка с переменными коэффициентами, удовлетворяющими определенным условиям, а также методом резольвент и методом функции Грина найдены условия существования и единственности решения обратной задачи об источнике для уравнения третьего порядка с частными производными.- Ключевые слова: обратная задача, уравнение третьего порядка с частными производными третьего порядка, резольвента, интегральное уравнение Вольтерра второго рода, функция Грина. In this paper the Green function of the boundary value problem for the ...More

Article 2016 Fen Fakültesi Естественные и математические науки в современном мире45 ( 10 ) 95 Views
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The formula for solving a class of Riccati equation

Avıt ASANOV | Elmira ABDILDAYEVA | Kalıskan MATANOVA

In this paper we obtained a formula for the general solution for one class of Riccati equation. This formula was tested on the known results. The existence theorem of solution of Cauchy problem is proved. - Key words: Riccati equation, the general solution, the Cauchy problem

Article 2017 Fen Fakültesi Молодой учёный136 ( 2 ) 75 Views
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A class of linear and nonlinear Fredholm integral equations of the third kind

Avıt ASANOV | Kalıskan MATANOVA

In this paper we are applying a new approach to prove the uniqueness and existence theorems for linear and nonlinear Fredholm integral equations of the third kind.

Article 2017 Fen Fakültesi Kuwait Journal of Science44 ( 1 ) 100 Views
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One Class of Linear Fredholm Operator Equations of the Third Kind

Avıt ASANOV | Kalıskan MATANOVA

In this paper, we are applied a new approach to prove that the solution of the linear Fredholm operator equation of the third kind given on a segment and having a finite number of multipoint singularities is equivalent to the solution of the linear Fredholm operator equation of the second kind with additional conditions. We are showed an example of solving the system of linear integral Fredholm equations of the third kind based on the equivalence of the above equations.

Article 2021 Fen Fakültesi Lobachevskii Journal of Mathematics42 ( 3 ) 66 Views
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Uniqueness of the solution of one class of Volterra-Stieltjes linear integral equations of the third kind = Единственность решения одного класса линейных интегральных уравнений Вольтерра-Стилтьеса третьего рода

Avıt ASANOV | Kalıskan MATANOVA | Eliza Apsamat Kızı

In this paper, the question of uniqueness of the solution for one class of Volterra-Stieltjes linear integral equations of the third kind is investigated. The notion of derivative with respect to an increasing function was introduced by A. Asanov in 2001 and plays special role in the study. This notion is a generalization of the usual concept of a derivative function and is an inverse operator for one class of the Stieltjes integral. Basing on idea of such derivative, using the method of integral transformations and the method of non-negative quadratic forms, the uniqueness theorems for the so ...More

Article 2022 Fen Fakültesi Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva / Журнал Средневолжского математического общества24 ( 1 ) 99 Views
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